Titlebook: Scalable Algorithms for Contact Problems; Zdeněk Dostál,Tomáš Kozubek,Vít Vondrák Book 2023Latest edition The Editor(s) (if applicable) an

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Frictionless Contact Problemsticity. The chapter covers variational formulation, discretization, dual formulation, analysis, optimality results, numerical experiments, and an overview of related work. Special attention is given to the implementation details, including stable inversion of the semidefinite subdomains’ stiffness m

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Contact Problems with Friction of elastic bodies with friction, their decomposition, and discretization, and finally, we present the solution algorithms. The main result is proof of the numerical scalability for solving problems with Tresca’s friction. Numerical experiments document the optimal performance of the algorithms.

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Hybrid TFETI and TBETIthe average rigid body modes and present the results on the conditioning of such clusters. The three-level unpreconditioned hybrid TFETI method with the coarse grid split between the primal and dual variables can extend the scope of scalability by orders. The power of theoretical results is illustra

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978-3-031-33582-2The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl